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Finding the Fourth Proportional to 1,431.17, 1,975.62 and 934.23

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Solution

The fourth proportional to 1,431.17, 1,975.62 and 934.23 is: 1,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.17 : 1,975.62 = 934.23 : x
  2. Step 2: Convert to fraction form
    1,431.17/1,975.62 = 934.23/x
  3. Step 3: Cross multiply
    1,431.17x = 1,975.62 × 934.23
  4. Step 4: Simplify right side
    1,431.17x = 1,845,683.47
  5. Step 5: Solve for x
    x = 1,845,683.47/1,431.17
  6. Step 6: Final answer
    x = 1,289.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.